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Finding the Fourth Proportional to 505,394, 696,613.14 and 358,269

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Solution

The fourth proportional to 505,394, 696,613.14 and 358,269 is: 493,822.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,394 : 696,613.14 = 358,269 : x
  2. Step 2: Convert to fraction form
    505,394/696,613.14 = 358,269/x
  3. Step 3: Cross multiply
    505,394x = 696,613.14 × 358,269
  4. Step 4: Simplify right side
    505,394x = 249,574,893,054.66
  5. Step 5: Solve for x
    x = 249,574,893,054.66/505,394
  6. Step 6: Final answer
    x = 493,822.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.